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We report muon spin rotation (muSR) and infrared (IR) spectroscopyexperiments on underdoped BaFe1.89Co0.11As2 which show that bulk magnetism andsuperconductivity (SC) coexist and compete on the nanometer length scale. Ourcombined data reveal a bulk magnetic order, likely due to an incommensuratespin density wave (SDW), which develops below Tmag \approx 32 K and becomesreduced in magnitude (but not in volume) below Tc = 21.7 K. A slowlyfluctuating precursor of the SDW seems to develop alrady below the structuraltransition at Ts \approx 50 K. The bulk nature of SC is established by the muSRdata which show a bulk SC vortex lattice and the IR data which reveal that themajority of low-energy states is gapped and participates in the condensate at T<< Tc.

Coexistence and competition of magnetism and superconductivity on the nanometer scale in underdoped BaFe1.89Co0.11As2